I tried “sleeping at the airport” in JFK after a 11pm international arrival and before a 7am domestic departure. Wasn’t I surprised to find no staff anywhere in the departures area at all. I can’t believe delta let me book such a terrible connection!

If you’re stuck in the same terrible situation, the hotels in Resort World are reasonably priced relative to the gross airport ones nearby. Don’t even bother at the TWA hotel, you can’t book for a few hours even if they have a room available